Question

at an election between two candidates 53 votes were declared invalid the winning candidate secures 58% of valid votes and wins by 588 votes find the total number of votes polled???​

Answer 1

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Answer 2

Answer:

Let the total number of valid votes be x

Percentage of valid votes secured by winning candidates = 58%.

Percentage of valid votes secured by defeated candidates = (100 - 58)% = 42%.

Difference between their votes = 588

.°. (58% of x) - (42% of x)

$= > \frac{58}{100} \times \: x - \frac{42}{100} \times \: x = 588$

$= > ( \frac{58x}{100} ) - ( \frac{42x}{100} ) = 588$

$= > \frac{(58x - 42x)}{100} = 588$

$= > 16x = 588 \times 100$

$= > x = \frac{588 \times 100}{16} = 3675$

Number of valid votes = 3675 and number of invalid votes = 53

Hence , the total number of votes polled = (3675 + 53) = 3728.

Step-by-step explanation:

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